Step 1
Find the value of x using the elimination method
Given;
[tex]\begin{gathered} 5x+7y=9---(1) \\ 3x+7y=11---(2) \end{gathered}[/tex]
Hence,
[tex]\begin{gathered} 2x=-2 \\ \frac{2x}{2}=\frac{-2}{2} \\ x=-1 \end{gathered}[/tex]
Step 2
Find the value of y
[tex]\begin{gathered} \text{From 1} \\ 5x+7y=9 \\ 5(-1)\text{+7y=9} \\ -5+7y=9 \\ 7y=9+5 \\ 7y=14 \\ \frac{7y}{7}=\frac{14}{7} \\ y=\text{ 2} \end{gathered}[/tex]
Hence, x = -1 and y = 2
